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A rank $2$ Dijkgraaf–Moore–Verlinde–Verlinde formula
We conjecture a formula for the virtual elliptic genera of moduli spaces of rank 2 sheaves on minimal surfaces S of general type.We express our conjecture in terms of the Igusa cusp form χ 10 and Borcherds type lifts of three quasi-Jacobi forms which are all related to the Weierstrass …